{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Linear basis function models with PyMC4\n",
    "\n",
    "The following is a PyMC4 implementation of [Bayesian regression with linear basis function models](https://nbviewer.jupyter.org/github/krasserm/bayesian-machine-learning/blob/master/bayesian_linear_regression.ipynb). PyMC4 is still in an early state of development (an alpha release is available at the time of writing this notebook) i.e. the following code may break with future PyMC4 releases but I'll try to it keep up to date. A corresponding PyMC3 implementation is available [here](https://nbviewer.jupyter.org/github/krasserm/bayesian-machine-learning/blob/master/bayesian_linear_regression_pymc3.ipynb)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4.0a2\n",
      "2.2.0-dev20200414\n",
      "0.10.0-dev20200414\n"
     ]
    }
   ],
   "source": [
    "import logging\n",
    "import pymc4 as pm\n",
    "import numpy as np\n",
    "import arviz as az\n",
    "\n",
    "import tensorflow as tf\n",
    "import tensorflow_probability as tfp\n",
    "\n",
    "print(pm.__version__)\n",
    "print(tf.__version__)\n",
    "print(tfp.__version__)\n",
    "\n",
    "# Mute Tensorflow warnings ...\n",
    "logging.getLogger('tensorflow').setLevel(logging.ERROR)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## Introduction to PyMC4\n",
    "\n",
    "PyMC4 uses [Tensorflow Probability](https://www.tensorflow.org/probability) (TFP) as backend and PyMC4 random variables are wrappers around TFP distributions. Models must be defined as [generator](https://docs.python.org/3/glossary.html#term-generator) functions, using a `yield` keyword for each random variable. PyMC4 uses [coroutines](https://www.python.org/dev/peps/pep-0342/) to interact with the generator to get access to random variables. Depending on the context, it may sample values from random variables, compute log probabilities of observed values, ... and so on. Details are covered in the [PyMC4 design guide](https://github.com/pymc-devs/pymc4/blob/master/notebooks/pymc4_design_guide.ipynb). Model generator functions must be decorated with ` @pm.model` as shown in the following trivial example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "@pm.model\n",
    "def model(y):\n",
    "    x = yield pm.Normal('x', loc=0, scale=10)\n",
    "    y = yield pm.Normal('y', loc=x, scale=1, observed=y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`pm.sample()` samples from the posterior using NUTS. Samplers other than NUTS or variational inference methods are not implemented yet."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Inference data with groups:\n",
       "\t> posterior\n",
       "\t> sample_stats\n",
       "\t> observed_data"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y = np.random.randn(30) + 3\n",
    "\n",
    "trace = pm.sample(model(y), num_chains=3)\n",
    "trace"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The returned `trace` object is an ArviZ [`InferenceData`](https://arviz-devs.github.io/arviz/notebooks/XarrayforArviZ.html) object. It contains posterior samples, observed data and sampler statistics. The posterior distribution over `x` can be displayed with:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_posterior(trace, var_names=['model/x']);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Models can also be nested i.e. used like other PyMC4 random variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "@pm.model\n",
    "def MyNormal(name, loc=0, scale=10):\n",
    "    x = yield pm.Normal(name, loc=loc, scale=scale)\n",
    "    return x\n",
    "\n",
    "@pm.model\n",
    "def model(y):\n",
    "    x = yield MyNormal('x')\n",
    "    y = yield pm.Normal('y', loc=x, scale=1, observed=y)\n",
    "    \n",
    "trace = pm.sample(model(y), num_chains=3)\n",
    "az.plot_posterior(trace, var_names=['model/MyNormal/x']);    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Linear basis function models\n",
    "\n",
    "I introduced regression with linear basis function models in a [previous article](https://nbviewer.jupyter.org/github/krasserm/bayesian-machine-learning/blob/master/bayesian_linear_regression.ipynb). To recap, a linear regression model is a linear function of the parameters but not necessarily of the input. Input $x$ can be expanded with a set of non-linear basis functions $\\phi_j(x)$, where $(\\phi_1(x), \\dots, \\phi_M(x))^T = \\boldsymbol\\phi(x)$, for modeling a non-linear relationship between input $x$ and a function value $y$.\n",
    "\n",
    "$$\n",
    "y(x, \\mathbf{w}) = w_0 + \\sum_{j=1}^{M}{w_j \\phi_j(x)} = w_0 + \\mathbf{w}_{1:}^T \\boldsymbol\\phi(x) \\tag{1}\n",
    "$$\n",
    "\n",
    "For simplicity I'm using a scalar input $x$ here. Target variable $t$ is given by the deterministic function $y(x, \\mathbf{w})$ and Gaussian noise $\\epsilon$.\n",
    "\n",
    "$$\n",
    "t = y(x, \\mathbf{w}) + \\epsilon \\tag{2}\n",
    "$$\n",
    "\n",
    "Here, we can choose between polynomial and Gaussian basis functions for expanding input $x$. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from functools import partial\n",
    "from scipy.stats import norm\n",
    "\n",
    "def polynomial_basis(x, power):\n",
    "    return x ** power\n",
    "\n",
    "def gaussian_basis(x, mu, sigma):\n",
    "    return norm(loc=mu, scale=sigma).pdf(x).astype(np.float32)\n",
    "\n",
    "def _expand(x, bf, bf_args):\n",
    "    return np.stack([bf(x, bf_arg) for bf_arg in bf_args], axis=1)\n",
    "\n",
    "def expand_polynomial(x, degree=3):\n",
    "    return _expand(x, bf=polynomial_basis, bf_args=range(1, degree + 1))\n",
    "\n",
    "def expand_gaussian(x, mus=np.linspace(0, 1, 9), sigma=0.3):\n",
    "    return _expand(x, bf=partial(gaussian_basis, sigma=sigma), bf_args=mus)\n",
    "\n",
    "# Choose between polynomial and Gaussian expansion\n",
    "# (by switching the comment on the following two lines)\n",
    "expand = expand_polynomial\n",
    "#expand = expand_gaussian"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For example, to expand two input values `[0.5, 1.5]` into a polynomial design matrix of degree `3` we can use"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.5  , 0.25 , 0.125],\n",
       "       [1.5  , 2.25 , 3.375]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "expand_polynomial(np.array([0.5, 1.5]), degree=3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The power of `0` is omitted here and covered by a $w_0$ in the model."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example dataset\n",
    "\n",
    "The example dataset consists of `N` noisy samples from a sinusoidal function `f`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "from bayesian_linear_regression_util import (\n",
    "    plot_data, \n",
    "    plot_truth\n",
    ")\n",
    "\n",
    "def f(x, noise=0):\n",
    "    \"\"\"Sinusoidal function with optional Gaussian noise.\"\"\"\n",
    "    return 0.5 + np.sin(2 * np.pi * x) + np.random.normal(scale=noise, size=x.shape)\n",
    "\n",
    "# Number of samples\n",
    "N = 10\n",
    "\n",
    "# Constant noise \n",
    "noise = 0.3\n",
    "\n",
    "# Noisy samples \n",
    "x = np.linspace(0, 1, N, dtype=np.float32)\n",
    "t = f(x, noise=noise)\n",
    "\n",
    "# Noise-free ground truth \n",
    "x_test = np.linspace(0, 1, 100).astype(np.float32)\n",
    "y_true = f(x_test)\n",
    "\n",
    "plot_data(x, t)\n",
    "plot_truth(x_test, y_true)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Implementation with PyMC4\n",
    "\n",
    "### Model definition"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The model definition directly follows from Eq. $(1)$ and Eq. $(2)$ with normal priors over parameters. The size of parameter vector `w_r` ($\\mathbf{w}_{1:}$ in Eq. $(1)$) is determined by the number of basis functions and set via the `batch_stack` parameter. With the above default settings, it is 3 for polynomial expansion and 9 for Gaussian expansion."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "import tensorflow as tf\n",
    "\n",
    "@pm.model\n",
    "def model(Phi, t, sigma=noise):\n",
    "    \"\"\"Linear model generator.\n",
    "    \n",
    "    Args:\n",
    "    - Phi: design matrix (N,M)\n",
    "    - t: noisy target values (N,)\n",
    "    - sigma: known noise of t\n",
    "    \"\"\"\n",
    "\n",
    "    w_0 = yield pm.Normal(name='w_0', loc=0, scale=10)\n",
    "    w_r = yield pm.Normal(name='w_r', loc=0, scale=10, batch_stack=Phi.shape[1])\n",
    "    \n",
    "    mu = w_0 + tf.tensordot(w_r, Phi.T, axes=1)\n",
    "    \n",
    "    yield pm.Normal(name='t_obs', loc=mu, scale=sigma, observed=t)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Inference"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Tensorflow will automatically run inference on a GPU if available. With the current version of PyMC4, inference on a GPU is quite slow compared to a multi-core CPU (need to investigate that in more detail). To enforce inference on a CPU set environment variable `CUDA_VISIBLE_DEVICES` to an empty value. There is no progress bar visible yet during sampling but the following shouldn't take longer than a 1 minute."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "trace = pm.sample(model(expand(x), t), num_chains=3, burn_in=100, num_samples=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_trace(trace);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1490.4x331.2 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_posterior(trace, var_names=\"model/w_0\");\n",
    "az.plot_posterior(trace, var_names=\"model/w_r\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Prediction\n",
    "\n",
    "To obtain posterior predictive samples for a test set `x_test` we simply call the model generator function again with the expanded test set. This is a nice improvement over PyMC3 which required to setup a shared Theano variable for setting test set values. Target values are ignored during predictive sampling, only the shape of the target array `t` matters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
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       "</style><div class='xr-wrap'><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-c38941c4-9742-4114-a3e5-3c1cd16a59c6' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-c38941c4-9742-4114-a3e5-3c1cd16a59c6' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>chain</span>: 3</li><li><span class='xr-has-index'>draw</span>: 1000</li><li><span class='xr-has-index'>model/t_obs_dim_0</span>: 100</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-1a205c05-77e1-4350-97a1-bd32522ecf16' class='xr-section-summary-in' type='checkbox'  checked><label for='section-1a205c05-77e1-4350-97a1-bd32522ecf16' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chain</span></div><div class='xr-var-dims'>(chain)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2</div><input id='attrs-6fbcf313-3e62-4786-9671-e5e464ff8406' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-6fbcf313-3e62-4786-9671-e5e464ff8406' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c0df3e38-ae3b-44e0-8e28-97b27bc16883' class='xr-var-data-in' type='checkbox'><label for='data-c0df3e38-ae3b-44e0-8e28-97b27bc16883' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><pre class='xr-var-data'>array([0, 1, 2])</pre></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>draw</span></div><div class='xr-var-dims'>(draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 ... 995 996 997 998 999</div><input id='attrs-5a36de0a-53dd-46ea-9dff-114085398a38' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-5a36de0a-53dd-46ea-9dff-114085398a38' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f1f93bc5-8924-486a-ae1e-f0253e8f9000' class='xr-var-data-in' type='checkbox'><label for='data-f1f93bc5-8924-486a-ae1e-f0253e8f9000' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><pre class='xr-var-data'>array([  0,   1,   2, ..., 997, 998, 999])</pre></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>model/t_obs_dim_0</span></div><div class='xr-var-dims'>(model/t_obs_dim_0)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 6 ... 94 95 96 97 98 99</div><input id='attrs-aeb6d2f8-ad75-4af9-b646-da48527bff00' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-aeb6d2f8-ad75-4af9-b646-da48527bff00' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-3eed21f9-db8a-42d0-bee2-e8a05a17322c' class='xr-var-data-in' type='checkbox'><label for='data-3eed21f9-db8a-42d0-bee2-e8a05a17322c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><pre class='xr-var-data'>array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17,\n",
       "       18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35,\n",
       "       36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,\n",
       "       54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71,\n",
       "       72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89,\n",
       "       90, 91, 92, 93, 94, 95, 96, 97, 98, 99])</pre></li></ul></div></li><li class='xr-section-item'><input id='section-ef6888d7-f8b3-4631-99bf-11a3076d35c3' class='xr-section-summary-in' type='checkbox'  checked><label for='section-ef6888d7-f8b3-4631-99bf-11a3076d35c3' class='xr-section-summary' >Data variables: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>model/t_obs</span></div><div class='xr-var-dims'>(chain, draw, model/t_obs_dim_0)</div><div class='xr-var-dtype'>float32</div><div class='xr-var-preview xr-preview'>0.62803966 ... -0.10609433</div><input id='attrs-5f35cb15-08b1-454e-aaeb-66b92898badb' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-5f35cb15-08b1-454e-aaeb-66b92898badb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1ba80739-e72e-405c-9109-1fdf91a36892' class='xr-var-data-in' type='checkbox'><label for='data-1ba80739-e72e-405c-9109-1fdf91a36892' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><pre class='xr-var-data'>array([[[ 6.2803966e-01,  3.0982676e-01,  1.3288246e+00, ...,\n",
       "          2.0092756e-02, -4.6279129e-01, -3.5547027e-01],\n",
       "        [ 1.2540956e+00,  1.3001926e+00,  4.7648013e-01, ...,\n",
       "         -1.4047767e-01, -6.6063479e-02,  2.2666046e-01],\n",
       "        [ 8.7482959e-01,  7.1901262e-01,  1.2609010e+00, ...,\n",
       "          3.6891103e-01,  2.3930666e-01,  1.9714403e-01],\n",
       "        ...,\n",
       "        [ 6.5140450e-01,  9.2145377e-01,  2.7004269e-01, ...,\n",
       "          6.3866097e-04,  3.6582848e-01,  4.0039763e-01],\n",
       "        [ 4.4500881e-01,  2.6833433e-01,  5.4804039e-01, ...,\n",
       "          7.7021873e-01,  2.5889888e-02,  6.1815977e-03],\n",
       "        [ 7.7372921e-01,  7.9454470e-01,  6.1503142e-01, ...,\n",
       "          1.0394448e-01, -4.7731856e-01, -6.0296464e-01]],\n",
       "\n",
       "       [[ 1.0802209e-02,  5.3853476e-01,  4.2005211e-01, ...,\n",
       "          3.4785268e-01,  5.5825341e-01,  3.6537340e-01],\n",
       "        [ 1.0661882e+00,  6.1011136e-01,  1.2609197e+00, ...,\n",
       "          2.7852780e-01,  6.0179305e-01,  8.8738966e-01],\n",
       "        [ 7.4540353e-01,  1.2344036e+00,  1.2811742e+00, ...,\n",
       "          7.6069474e-01,  5.6832170e-01,  1.1162102e+00],\n",
       "        ...,\n",
       "        [-9.9507570e-03,  3.3239186e-01,  4.7235852e-01, ...,\n",
       "         -3.1367943e-01, -1.1621615e-01,  8.4965013e-02],\n",
       "        [ 6.0881937e-01,  5.4845160e-01,  3.3895850e-01, ...,\n",
       "         -1.8985049e-01,  5.1551007e-02, -2.9580078e-01],\n",
       "        [ 4.2067486e-01,  1.0590549e+00,  8.4452099e-01, ...,\n",
       "         -4.9186319e-01, -1.4563501e-01, -1.7367038e-01]],\n",
       "\n",
       "       [[-2.7087212e-01,  2.2036786e-01,  2.1426165e-01, ...,\n",
       "          1.7241767e-01,  3.1225359e-01,  6.8863893e-01],\n",
       "        [ 7.2146583e-01,  6.2246352e-01,  6.6259170e-01, ...,\n",
       "          3.3384523e-01, -2.5926927e-01, -3.3233041e-01],\n",
       "        [ 4.1656739e-01,  7.5270784e-01,  5.5890125e-01, ...,\n",
       "          1.1958110e-01, -1.2425715e-01, -2.5198370e-01],\n",
       "        ...,\n",
       "        [ 5.0131804e-01, -7.0139110e-02,  1.1371263e+00, ...,\n",
       "          1.8864080e-01, -1.3917631e-01,  4.4616908e-01],\n",
       "        [ 1.9719602e-01,  6.5913051e-01,  8.3163023e-01, ...,\n",
       "          5.0224549e-01,  4.1368300e-01,  5.7770413e-01],\n",
       "        [ 5.0372481e-01,  3.2341504e-01,  6.1320949e-01, ...,\n",
       "         -6.8751842e-02, -7.4040598e-01, -1.0609433e-01]]], dtype=float32)</pre></li></ul></div></li><li class='xr-section-item'><input id='section-26cc2edd-e860-436f-a4b2-2527df12879c' class='xr-section-summary-in' type='checkbox'  checked><label for='section-26cc2edd-e860-436f-a4b2-2527df12879c' class='xr-section-summary' >Attributes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>created_at :</span></dt><dd>2020-04-22T05:50:53.606431</dd><dt><span>arviz_version :</span></dt><dd>0.7.0</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.Dataset>\n",
       "Dimensions:            (chain: 3, draw: 1000, model/t_obs_dim_0: 100)\n",
       "Coordinates:\n",
       "  * chain              (chain) int64 0 1 2\n",
       "  * draw               (draw) int64 0 1 2 3 4 5 6 ... 994 995 996 997 998 999\n",
       "  * model/t_obs_dim_0  (model/t_obs_dim_0) int64 0 1 2 3 4 5 ... 95 96 97 98 99\n",
       "Data variables:\n",
       "    model/t_obs        (chain, draw, model/t_obs_dim_0) float32 0.62803966 ... -0.10609433\n",
       "Attributes:\n",
       "    created_at:     2020-04-22T05:50:53.606431\n",
       "    arviz_version:  0.7.0"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "draws_posterior = pm.sample_posterior_predictive(model(expand(x_test), t=np.zeros_like(x_test)), trace, inplace=False)\n",
    "draws_posterior.posterior_predictive"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The predictive mean and standard deviation is obtained by averaging over chains (axis `0`) and predictive samples (axis `1`) for each of the 100 data points in `x_test` (axis `2`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "predictive_samples = draws_posterior.posterior_predictive.data_vars['model/t_obs'].values\n",
    "\n",
    "m = np.mean(predictive_samples, axis=(0, 1))\n",
    "s = np.std(predictive_samples, axis=(0, 1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These statistics can be used to plot model predictions and their uncertainties (together with the ground truth and the noisy training dataset)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.fill_between(x_test, m + s, m - s, alpha = 0.5, label='Predictive std. dev.')\n",
    "plt.plot(x_test, m, label='Predictive mean');\n",
    "\n",
    "plot_data(x, t)\n",
    "plot_truth(x_test, y_true, label=None)\n",
    "\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Try running the example again with Gaussian expansion i.e. setting `expand = expand_gaussian` and see how it compares to polynomial expansion. Also try running with a different number of basis functions by overriding the default arguments of `expand_polynomial` and `expand_gaussian`. You can find more PyMC4 examples in the [notebooks](https://github.com/pymc-devs/pymc4/tree/master/notebooks) diretory of the PyMC4 project."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
